Median point of a triangle

author: Martin Marinov
viewed: 1540 times
Българска версия:

T: All the medians in a triangle intercept in one point, that divides them in ratio 2:1 from a node.
Example: Triangle ABC. C₁ is the midpoint of AB, A₁ is midpoint of CB and B₁ is midpoint of AC. If AA₁ intercepts BB₁ intercepts CC₁ in point M (median of the triangle ABC). Then AM:MA₁=2:1; BM:MB₁=2:1 and CM:MC₁=2:1

D: The common point of the medians of the triangle is called a median point or centroid of a triangle